Question

is the biologists sum correct? use the drop - down menus to explain.

$f(t)+g(t)=1250(4^{t})

click the arrows to choose an answer from each menu.
to add the functions, the biologist should choose... add the coefficients of the exponential expressions. the sum of the functions is $f(t)+g(t)=$ choose...
the biologists sum choose... correct.

Explanation:

Step1: Recall function - addition rule

When adding exponential functions of the same base ($a^x$), we add the coefficients if the exponents ($x$) are the same.

Step2: Analyze the given sum

We don't know the original $f(t)$ and $g(t)$ but if they are of the form $a\cdot4^t$ and $b\cdot4^t$, then $f(t)+g(t)=(a + b)\cdot4^t$. Without knowing the original functions, we assume the general rule. If the biologist added the coefficients of exponential expressions with the same base and exponent correctly, we can check the result. But since no original functions are given, we assume the rule of adding exponential - type functions. If the biologist followed the rule of adding coefficients of exponential expressions with the same base and exponent, we can verify.

Answer:

To add the functions, the biologist should: add the coefficients of the exponential expressions. The sum of the functions: cannot be determined precisely without original $f(t)$ and $g(t)$. The biologist’s sum: cannot be determined as correct or incorrect without more information.